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» Rewriting Induction Linear Arithmetic = Decision Procedure
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CADE
2004
Springer
14 years 8 months ago
The ICS Decision Procedures for Embedded Deduction
contexts such as construction of abstractions, speed may be favored over completeness, so that undecidable theories (e.g., nonlinear integer arithmetic) and those whose decision pr...
Leonardo Mendonça de Moura, Sam Owre, Haral...
CSCLP
2008
Springer
13 years 10 months ago
An Efficient Decision Procedure for Functional Decomposable Theories Based on Dual Constraints
Abstract. Over the last decade, first-order constraints have been efficiently used in the artificial intelligence world to model many kinds of complex problems such as: scheduling,...
Khalil Djelloul
CADE
2012
Springer
11 years 11 months ago
A Simplex-Based Extension of Fourier-Motzkin for Solving Linear Integer Arithmetic
Abstract. This paper describes a novel decision procedure for quantifierfree linear integer arithmetic. Standard techniques usually relax the initial problem to the rational domai...
François Bobot, Sylvain Conchon, Evelyne Co...
LPAR
2010
Springer
13 years 6 months ago
Interpolating Quantifier-Free Presburger Arithmetic
Craig interpolation has become a key ingredient in many symbolic model checkers, serving as an approximative replacement for expensive quantifier elimination. In this paper, we foc...
Daniel Kroening, Jérôme Leroux, Phili...
CAV
2008
Springer
158views Hardware» more  CAV 2008»
13 years 10 months ago
Linear Arithmetic with Stars
We consider an extension of integer linear arithmetic with a "star" operator takes closure under vector addition of the solution set of a linear arithmetic subformula. We...
Ruzica Piskac, Viktor Kuncak